Bosonization and duality in arbitrary dimensions: New results

M. BOTTA CANTCHEFF, J. A. HELAYËL-NETO

PHYSICAL REVIEW D - PARTICLE AND FILDS

Año: 2003 vol. 67 p. 25016 - 25025

0556-2821

A generic massive Thirring model in three space-time dimensions exhibits a correspondence with a topologically massive bosonized gauge action associated with a self-duality constraint, and we write down a general expression for this relationship. We also generalize this structure to d dimensions, by adopting the so-called doublet approach, recently introduced. In particular, a nonconventional formulation of the bosonization technique in higher dimensions (in the spirit of d=3) is proposed and, as an application, we show how fermionic (Thirring-like) representations for bosonic topologically massive models in four dimensions may be built-up.